Details

Time bar (total: 11.6s)

sample18.0ms

Algorithm
intervals
Results
10.0ms297×body80valid

simplify129.0ms

Counts
1 → 1
Iterations
IterNodes
done128
12128
11127
10123
9119
8113
7100
681
570
455
343
228
119
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 56
Calls
2 calls:
48.0ms
(* x (+ (/ x y) 1.0))
47.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (+ (/ x y) 1.0))
47.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.3s

Counts
62 → 62
Iterations
IterNodes
done5003
21402
1332
0108

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
2 → 152
Calls
2 calls:
34.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
42.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series150.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
90.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify2.4s

Counts
158 → 158
Iterations
IterNodes
done5011
22175
1569
0212

prune460.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*r* associate-/r/ flip-+
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
2 → 83
Calls
2 calls:
12.0ms
(/ x (+ x 1.0))
74.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series91.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (+ x 1.0))
47.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.9s

Counts
89 → 89
Iterations
IterNodes
done5008
22368
1517
0146

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (/ x y) 1.0))
0.1b
(/ 1 (sqrt (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
0.1b
(* (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
121×add-sqr-sqrt times-frac
79×sqrt-prod
69×add-cube-cbrt
34×associate-*r*
32×add-exp-log distribute-lft-out
27×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg sqrt-pow1 pow1/2 hypot-def associate-/l/
1×frac-times rem-sqrt-square pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 236
Calls
4 calls:
30.0ms
(sqrt (+ (/ x y) 1.0))
35.0ms
(/ 1 (sqrt (+ (/ x y) 1.0)))
54.0ms
(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
189.0ms
(* (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (+ (/ x y) 1.0))
192.0ms
(/ 1 (sqrt (+ (/ x y) 1.0)))
244.0ms
(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
90.0ms
(* (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))))

simplify1.7s

Counts
248 → 248
Iterations
IterNodes
done5000
22041
1665
0239

prune733.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample723.0ms

Algorithm
intervals
Results
558.0ms9192×body80valid